Meeting 1 (13.10.2025 by Keremcan Doğan): Introduction and motivation, Algebra and geometry correspondence, A little history of geometry and physics, Klein and Erlangen program, Noether theorem, Galilean and Poincare groups, Group representations, Wigner classification, Dirac equation
Meeting 2 (27.10.2025 by Bilal Bulduk): Quadratic vector spaces, Clifford algebras, Gamma matrices, Low dimensional examples, Z_2 grading, Exterior algebra, Clifford algebra chessboard, Bott periodicity, Orthogonal group and its Lie algebra (Jose Figueroa-O’Farrill lecture notes, Spin geometry Section 1.1, 1.3, 1.4, 3.1)